Solve log2x = log53 + 1 by graphing. Round to the nearest tenth.
What does X equal?

Answer:

65.8° and 114.2°

Step-by-step explanation:

Suplementary angles sum 180°

then:

a + b = 180°   eq 1

a = b - 48.4     eq 2

replacing the value of eq 2 in eq 1:

(b-48.4) + b = 180°

2b - 48.4 = 180°

2b = 180 + 48.4

2b = 228.4

b = 114.2°

from the eq. 1

a = b - 48.4

a = 114.2 - 48.4

a = 65.8°

Check:

114.2° + 65.8° = 180°

Answer:

$234 per week.  (gross).

Step-by-step explanation:

Total earned for the 12 weeks =  18 * 12 * 13 = 2808

Gross pay = 2808 / 12 = $234

Answer:

To calculate the volume of a cylinder, you need to know its height and the area of its base. Because a cylinder is a flat-top figure (a solid with two congruent, parallel bases), the base can be either the top or bottom

Step-by-step explanation:

Answer:

Give other person brainlyest :D

Step-by-step explanation:

Answer:

-4x - 10

Step-by-step explanation:

Given the expression -2/3(6x+ 15)

Open the bracket

-2/3(6x+ 15)

= -2/3 (6x) -2/3(15)

= -2(2x) - 2(5)

= -4x - 10

hence the equivalent expression is -4x - 10

Answer:

tbh I think its the middle one

Step-by-step explanation:

Answer:

2,3,1

Step-by-step explanation:

1 => 25-3=22

2 => 5-6 = -1

3 => 5- -3 = 8

Answer:

35:42=20:24

Hope this helps!

Answer: y = 420x

Step-by-step explanation:

y = Total pay

x = Number of weeks

420 = Number of dollars per week of net pay

Answer:

[tex]\Huge\boxed{\$ 12.12}[/tex]

Step-by-step explanation:

In order to find how much credit is left after 92 minutes, we need to

1.  Figure out the equation that describes this graph (since we don't know the y-intercept)

2. Find the credit remaining after 92 minutes using the equation formed.

First things first is to figure out the slope of this graph. Since this is a linear function, the slope will remain constant, and we can note something about slope here.

The slope of a line will be it's change in x divided by its change in y, often referred to with a formula.

[tex]\frac{\Delta y}{\Delta x}[/tex]

Since we know two points on this graph, we can find the changes in the x and y then divide for the slope.

Since minutes used is the x, and credit left is the y, we have two points.

(41, 19.26) and (68, 15.48).

The slope will then be [tex]\frac{-3.78}{27}[/tex] which comes out to be -0.14.

Now that we know the slope, that means our equation will look something like [tex]y = -0.14x+b[/tex] - however, we still have b to solve for!

To solve for it, we can substitute one of our points in - let's do (41, 19.26) - to the equation and solve for b.

Now that we know that b = 25, we can plug it into our equation, making the final equation that represents this scenario

[tex]y = -0.14x+25[/tex]

Now that we know the equation to our graph, we can substitute in 92 minutes as the x value to find our y value (credit left).

Therefore, after 92 minutes, the amount of credit left is $12.12

Hope this helped!

Answer:

me too

Step-by-step explanation:

Meeee toooooooo!!!,!,!,!,!,,,,!,!!,!!!!

I assume you want this explained

Answer and explanation:

If the function f ( x ) = 5 x − 320 represents the total amount of funds raised based on the number of tickets sold, x , minus the cost of decorations then x number of tickets is an independent variable here that will determine the total amount of funds raised y(dependent variable)

The y intercept is -320 and the slope is 5

If for example the number of tickets sold = 100 tickets

Total amount of funds using the function :

f(100)= 5×100-320

=500-320

= $180

Answer:

The slope of the function is 5, and it represents the price of each ticket .

Step-by-step explanation:

Answer:

Use Mathaway and write the equation

Step-by-step explanation:

Answer:

x = -2.3

Step-by-step explanation:

-3x + 4 = 6

Subtract 4 from both sides.

-3x = 2

Divide both sides by -3

x = -2/3

Answer:

3/12 = 2/8

Step-by-step explanation:

Answer:

You are finding the intersection point of the system of linear equations.

Step-by-step explanation:

You can use methods like substitution, elimination, and/or equal values to find the solution for the system of linear equations.

Answer:

f(g(x)) = 3x + 1

Step-by-step explanation:

To find f(g(x)), substitute x = g(x) into f(x), that is

f(x + 1)

= 3(x + 1) - 2

= 3x + 3 - 2

= 3x + 1

Answer:

d.exponential because as x increases by 1 y is multiplied by 3

Step-by-step explanation:

hope it help

Answer:

yes True

Step-by-step explanation:

thank you so much

Answer:

25.13in³

Step-by-step explanation:

Answer:

7.4 L per minute

Step-by-step explanation:

Volume of air = 37 L

Time = 5 minutes

What is the te of change of volume of air per minute?

Rate of change of volume of air per minute = Volume of air / Time

= 37 L / 5 minutes

= 7.4 L/minutes

That is, the rate of change of volume of air = 7.4 L per minute

Answer:

what he said

Step-by-step explanation:

Answer:

Just put the money divided by the percent in a calculator-

Step-by-step explanation:

:/

Answer:

D

Step-by-step explanation:

5+8=13

NOT 58

Answer: D

Step-by-step explanation:

Well 5+8=13 and not 58, so that’s why it’s incorrect

Answer:

The diameter of an atom is 25000  times the diameter of a pearl.

Step-by-step explanation:

Given that,

The diameter of a pearl is [tex]4\times 10^{-14}\ cm[/tex]

The diameter of an atom is [tex]10^{-11}\ m=10^{-9}\ m[/tex]

Taking the ratio,

[tex]\dfrac{\text{diameter of an atom}}{\text{diameter of a pearl}}=\dfrac{10^{-9}\ m}{4\times 10^{-14}\ m}\\\\=25000[/tex]

So, the diameter of an atom is 25000  times the diameter of a pearl.

Given:

Violinists : Cellists = 7:3.

Number of violinists in the school orchestra = 21

To find:

The combined number of cellists and violinists.

Solution:

Let the number of violinists and cellists in the school orchestra are 7x and 3x respectively.

Then, combined number of cellists and violinists is

[tex]\text{Combined number of cellists and violinists}=7x+3x[/tex]

[tex]\text{Combined number of cellists and violinists}=10x[/tex]      ...(i)

Number of violinists in the school orchestra = 21

[tex]7x=21[/tex]

Divide both sides by 7.

[tex]x=3[/tex]

Now, the combined number of cellists and violinists is

[tex]\text{Combined number of cellists and violinists}=10(3)[/tex]    [Using (i)]

[tex]\text{Combined number of cellists and violinists}=30[/tex]

Therefore, the combined number of cellists and violinists is 30.

Answer:

[tex]Area = 0.785cm^2[/tex]

Step-by-step explanation:

Given

[tex]r = 1cm[/tex] -- radius

[tex]\theta = 90^{\circ}[/tex]

Required

Determine the area of the sector

This is calculated as:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

Substitute values for r and [tex]\theta[/tex]

[tex]Area = \frac{90}{360} * \pi * (1)^2[/tex]

Simplify 90/360

[tex]Area = \frac{1}{4} * \pi * (1)^2[/tex]

[tex]Area = \frac{1}{4} \pi[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]Area = \frac{1}{4} * 3.14[/tex]

[tex]Area = 0.785cm^2[/tex]

Answer:

A

Step-by-step explanation:

might be wrong

9514 1404 393

Answer:

  3 minutes

Step-by-step explanation:

Let x represent Alysha's time to drive home from the market.

Speed and time are inversely proportional to each other (for the same distance), so we have ...

  (walking speed)(walking time) = (driving speed)(driving time)

  5(x +21) = (8·5)(x)

  x +21 = 8x . . . . . . . . . divide by 5

  21 = 7x . . . . . . . . subtract x

  3 = x . . . . . . .divide by 7

It takes Alysha 3 minutes to drive home from the market.

Answer:4,4

Step-by-step explanation:

Answer:

-1 = x

Step-by-step explanation:

Distribute 2 into x - 10 first to get to this equation which is -22 = 2x - 20.  Add 20 on both sides to get -2 on the left side.  Divide 2 on both sides to get your x-value which is -1.

Answer:

5

Step-by-step explanation:

the image shows VW and SR to be congruent therefore the difference is 10 between the sizes. to find SP you subtract 10 from TW

15 - 10 = 5